Page 232 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

Sec. 7.3 Lagrange’s Equation 219

Figure 7.3-4. (a) and (b).

nates equal to zero. The configurations for this determination are shown in Fig.
7.3-4(c), and the forces and moments necessary to maintain these deflections are
obtained from the free-body diagrams of Fig. 7.3-4(d) with the aid of the equations
shown in Fig. 6.4-2.
For ^1, we have
( \2EL (
0 0 Q\

< > = E l
M , -6 0 0 0
/?
[ M 2, 0 0 <0 .
-
For
> -6 El, ( \
0 0
' 4EL 4EE
< M , ' = 0 ^2

2 EE
M 2 0 0

h

Figure 7.3-4. (c). Generalized coordinates q,, Q2, and imposed
separately.